Convert Decimal Number to Binary or Hex Without itoa function

Code

#include <stdio.h>
#include <stdint.h>

void print_base(uint16_t num, uint8_t base) {
    if(num==0){
        printf("0\n");
        return;
    }
    char result[32];
    int index=0;
    while(num>0){
        int reminder=num%base;
        if(reminder<10){
            result[index++]='0' + reminder;
        }
        else{
            result[index++]= 'A' + (reminder-10);
        }
        num /= base;
    }
        for (int i = index - 1; i >= 0; i--) {
            putchar(result[i]);
        }
        printf("\n");
}

int main() {
    uint16_t num;
    uint8_t base;
    scanf("%hu %hhu", &num, &base);

    print_base(num, base);
    return 0;
}

Solving Approach